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Finding the Fourth Proportional to 5,113.98, 7,672.59 and 1,827

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Solution

The fourth proportional to 5,113.98, 7,672.59 and 1,827 is: 2,741.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,113.98 : 7,672.59 = 1,827 : x
  2. Step 2: Convert to fraction form
    5,113.98/7,672.59 = 1,827/x
  3. Step 3: Cross multiply
    5,113.98x = 7,672.59 × 1,827
  4. Step 4: Simplify right side
    5,113.98x = 14,017,821.93
  5. Step 5: Solve for x
    x = 14,017,821.93/5,113.98
  6. Step 6: Final answer
    x = 2,741.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.